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Finding the Third Proportional to 194,180 and 262,349

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Solution

The third proportional to 194,180 and 262,349 is: 354,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,180 : 262,349 = 262,349 : x
  2. Step 2: Convert to fraction form
    194,180/262,349 = 262,349/x
  3. Step 3: Cross multiply
    194,180x = 262,349 × 262,349
  4. Step 4: Simplify right side
    194,180x = 68,826,997,801
  5. Step 5: Solve for x
    x = 68,826,997,801/194,180
  6. Step 6: Final answer
    x = 354,449.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.